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A local pizza restaurant delivery time has a uniform distribution over 0 to 60 minutes. What is the probability that the pizza delivery time is more than 30 minutes on a given day? Answer: (Round to 2 decimal place.)

User Ludenus
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3 votes

Answer:

A

Explanation:

User Mubir
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1 vote

Answer:


X \sim Unif (a= 0, b=60)

And we want to find the following probability:


P(X>30)

And for this case we can use the cumulative distribution given by:


F(x) =(x-a)/(b-a), a \leq x \leq b

And for this case if we use this formula and the complement rule we have:


P(X>30)= 1-P(X<30) = 1- (30-0)/(60-0)= 1-0.50= 0.50

Explanation:

Let X the random variable who represent the pizza delivery time and we know that the distribution for x is given by:


X \sim Unif (a= 0, b=60)

And we want to find the following probability:


P(X>30)

And for this case we can use the cumulative distribution given by:


F(x) =(x-a)/(b-a), a \leq x \leq b

And for this case if we use this formula and the complement rule we have:


P(X>30)= 1-P(X<30) = 1- (30-0)/(60-0)= 1-0.50= 0.50

User David Calhoun
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